"""****************************************************************************************
 ** FileName:        qAES_math.py
 ** Author:          Jiawei Hawkins
 ** Date:            2019-04-21 星期天 12:13:09
 ** Description:     实现快速软件实现AES的数学基础 全部以32个字节作为接口
 ****************************************************************************************"""

rc = [
    0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1b, 0x36
]


sheet_gf = [
    (0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00), (0x01, 0x02, 0x03, 0x09, 0x0b, 0x0d, 0x0e),
    (0x02, 0x04, 0x06, 0x12, 0x16, 0x1a, 0x1c), (0x03, 0x06, 0x05, 0x1b, 0x1d, 0x17, 0x12),
    (0x04, 0x08, 0x0c, 0x24, 0x2c, 0x34, 0x38), (0x05, 0x0a, 0x0f, 0x2d, 0x27, 0x39, 0x36),
    (0x06, 0x0c, 0x0a, 0x36, 0x3a, 0x2e, 0x24), (0x07, 0x0e, 0x09, 0x3f, 0x31, 0x23, 0x2a),
    (0x08, 0x10, 0x18, 0x48, 0x58, 0x68, 0x70), (0x09, 0x12, 0x1b, 0x41, 0x53, 0x65, 0x7e),
    (0x0a, 0x14, 0x1e, 0x5a, 0x4e, 0x72, 0x6c), (0x0b, 0x16, 0x1d, 0x53, 0x45, 0x7f, 0x62),
    (0x0c, 0x18, 0x14, 0x6c, 0x74, 0x5c, 0x48), (0x0d, 0x1a, 0x17, 0x65, 0x7f, 0x51, 0x46),
    (0x0e, 0x1c, 0x12, 0x7e, 0x62, 0x46, 0x54), (0x0f, 0x1e, 0x11, 0x77, 0x69, 0x4b, 0x5a),
    (0x10, 0x20, 0x30, 0x90, 0xb0, 0xd0, 0xe0), (0x11, 0x22, 0x33, 0x99, 0xbb, 0xdd, 0xee),
    (0x12, 0x24, 0x36, 0x82, 0xa6, 0xca, 0xfc), (0x13, 0x26, 0x35, 0x8b, 0xad, 0xc7, 0xf2),
    (0x14, 0x28, 0x3c, 0xb4, 0x9c, 0xe4, 0xd8), (0x15, 0x2a, 0x3f, 0xbd, 0x97, 0xe9, 0xd6),
    (0x16, 0x2c, 0x3a, 0xa6, 0x8a, 0xfe, 0xc4), (0x17, 0x2e, 0x39, 0xaf, 0x81, 0xf3, 0xca),
    (0x18, 0x30, 0x28, 0xd8, 0xe8, 0xb8, 0x90), (0x19, 0x32, 0x2b, 0xd1, 0xe3, 0xb5, 0x9e),
    (0x1a, 0x34, 0x2e, 0xca, 0xfe, 0xa2, 0x8c), (0x1b, 0x36, 0x2d, 0xc3, 0xf5, 0xaf, 0x82),
    (0x1c, 0x38, 0x24, 0xfc, 0xc4, 0x8c, 0xa8), (0x1d, 0x3a, 0x27, 0xf5, 0xcf, 0x81, 0xa6),
    (0x1e, 0x3c, 0x22, 0xee, 0xd2, 0x96, 0xb4), (0x1f, 0x3e, 0x21, 0xe7, 0xd9, 0x9b, 0xba),
    (0x20, 0x40, 0x60, 0x3b, 0x7b, 0xbb, 0xdb), (0x21, 0x42, 0x63, 0x32, 0x70, 0xb6, 0xd5),
    (0x22, 0x44, 0x66, 0x29, 0x6d, 0xa1, 0xc7), (0x23, 0x46, 0x65, 0x20, 0x66, 0xac, 0xc9),
    (0x24, 0x48, 0x6c, 0x1f, 0x57, 0x8f, 0xe3), (0x25, 0x4a, 0x6f, 0x16, 0x5c, 0x82, 0xed),
    (0x26, 0x4c, 0x6a, 0x0d, 0x41, 0x95, 0xff), (0x27, 0x4e, 0x69, 0x04, 0x4a, 0x98, 0xf1),
    (0x28, 0x50, 0x78, 0x73, 0x23, 0xd3, 0xab), (0x29, 0x52, 0x7b, 0x7a, 0x28, 0xde, 0xa5),
    (0x2a, 0x54, 0x7e, 0x61, 0x35, 0xc9, 0xb7), (0x2b, 0x56, 0x7d, 0x68, 0x3e, 0xc4, 0xb9),
    (0x2c, 0x58, 0x74, 0x57, 0x0f, 0xe7, 0x93), (0x2d, 0x5a, 0x77, 0x5e, 0x04, 0xea, 0x9d),
    (0x2e, 0x5c, 0x72, 0x45, 0x19, 0xfd, 0x8f), (0x2f, 0x5e, 0x71, 0x4c, 0x12, 0xf0, 0x81),
    (0x30, 0x60, 0x50, 0xab, 0xcb, 0x6b, 0x3b), (0x31, 0x62, 0x53, 0xa2, 0xc0, 0x66, 0x35),
    (0x32, 0x64, 0x56, 0xb9, 0xdd, 0x71, 0x27), (0x33, 0x66, 0x55, 0xb0, 0xd6, 0x7c, 0x29),
    (0x34, 0x68, 0x5c, 0x8f, 0xe7, 0x5f, 0x03), (0x35, 0x6a, 0x5f, 0x86, 0xec, 0x52, 0x0d),
    (0x36, 0x6c, 0x5a, 0x9d, 0xf1, 0x45, 0x1f), (0x37, 0x6e, 0x59, 0x94, 0xfa, 0x48, 0x11),
    (0x38, 0x70, 0x48, 0xe3, 0x93, 0x03, 0x4b), (0x39, 0x72, 0x4b, 0xea, 0x98, 0x0e, 0x45),
    (0x3a, 0x74, 0x4e, 0xf1, 0x85, 0x19, 0x57), (0x3b, 0x76, 0x4d, 0xf8, 0x8e, 0x14, 0x59),
    (0x3c, 0x78, 0x44, 0xc7, 0xbf, 0x37, 0x73), (0x3d, 0x7a, 0x47, 0xce, 0xb4, 0x3a, 0x7d),
    (0x3e, 0x7c, 0x42, 0xd5, 0xa9, 0x2d, 0x6f), (0x3f, 0x7e, 0x41, 0xdc, 0xa2, 0x20, 0x61),
    (0x40, 0x80, 0xc0, 0x76, 0xf6, 0x6d, 0xad), (0x41, 0x82, 0xc3, 0x7f, 0xfd, 0x60, 0xa3),
    (0x42, 0x84, 0xc6, 0x64, 0xe0, 0x77, 0xb1), (0x43, 0x86, 0xc5, 0x6d, 0xeb, 0x7a, 0xbf),
    (0x44, 0x88, 0xcc, 0x52, 0xda, 0x59, 0x95), (0x45, 0x8a, 0xcf, 0x5b, 0xd1, 0x54, 0x9b),
    (0x46, 0x8c, 0xca, 0x40, 0xcc, 0x43, 0x89), (0x47, 0x8e, 0xc9, 0x49, 0xc7, 0x4e, 0x87),
    (0x48, 0x90, 0xd8, 0x3e, 0xae, 0x05, 0xdd), (0x49, 0x92, 0xdb, 0x37, 0xa5, 0x08, 0xd3),
    (0x4a, 0x94, 0xde, 0x2c, 0xb8, 0x1f, 0xc1), (0x4b, 0x96, 0xdd, 0x25, 0xb3, 0x12, 0xcf),
    (0x4c, 0x98, 0xd4, 0x1a, 0x82, 0x31, 0xe5), (0x4d, 0x9a, 0xd7, 0x13, 0x89, 0x3c, 0xeb),
    (0x4e, 0x9c, 0xd2, 0x08, 0x94, 0x2b, 0xf9), (0x4f, 0x9e, 0xd1, 0x01, 0x9f, 0x26, 0xf7),
    (0x50, 0xa0, 0xf0, 0xe6, 0x46, 0xbd, 0x4d), (0x51, 0xa2, 0xf3, 0xef, 0x4d, 0xb0, 0x43),
    (0x52, 0xa4, 0xf6, 0xf4, 0x50, 0xa7, 0x51), (0x53, 0xa6, 0xf5, 0xfd, 0x5b, 0xaa, 0x5f),
    (0x54, 0xa8, 0xfc, 0xc2, 0x6a, 0x89, 0x75), (0x55, 0xaa, 0xff, 0xcb, 0x61, 0x84, 0x7b),
    (0x56, 0xac, 0xfa, 0xd0, 0x7c, 0x93, 0x69), (0x57, 0xae, 0xf9, 0xd9, 0x77, 0x9e, 0x67),
    (0x58, 0xb0, 0xe8, 0xae, 0x1e, 0xd5, 0x3d), (0x59, 0xb2, 0xeb, 0xa7, 0x15, 0xd8, 0x33),
    (0x5a, 0xb4, 0xee, 0xbc, 0x08, 0xcf, 0x21), (0x5b, 0xb6, 0xed, 0xb5, 0x03, 0xc2, 0x2f),
    (0x5c, 0xb8, 0xe4, 0x8a, 0x32, 0xe1, 0x05), (0x5d, 0xba, 0xe7, 0x83, 0x39, 0xec, 0x0b),
    (0x5e, 0xbc, 0xe2, 0x98, 0x24, 0xfb, 0x19), (0x5f, 0xbe, 0xe1, 0x91, 0x2f, 0xf6, 0x17),
    (0x60, 0xc0, 0xa0, 0x4d, 0x8d, 0xd6, 0x76), (0x61, 0xc2, 0xa3, 0x44, 0x86, 0xdb, 0x78),
    (0x62, 0xc4, 0xa6, 0x5f, 0x9b, 0xcc, 0x6a), (0x63, 0xc6, 0xa5, 0x56, 0x90, 0xc1, 0x64),
    (0x64, 0xc8, 0xac, 0x69, 0xa1, 0xe2, 0x4e), (0x65, 0xca, 0xaf, 0x60, 0xaa, 0xef, 0x40),
    (0x66, 0xcc, 0xaa, 0x7b, 0xb7, 0xf8, 0x52), (0x67, 0xce, 0xa9, 0x72, 0xbc, 0xf5, 0x5c),
    (0x68, 0xd0, 0xb8, 0x05, 0xd5, 0xbe, 0x06), (0x69, 0xd2, 0xbb, 0x0c, 0xde, 0xb3, 0x08),
    (0x6a, 0xd4, 0xbe, 0x17, 0xc3, 0xa4, 0x1a), (0x6b, 0xd6, 0xbd, 0x1e, 0xc8, 0xa9, 0x14),
    (0x6c, 0xd8, 0xb4, 0x21, 0xf9, 0x8a, 0x3e), (0x6d, 0xda, 0xb7, 0x28, 0xf2, 0x87, 0x30),
    (0x6e, 0xdc, 0xb2, 0x33, 0xef, 0x90, 0x22), (0x6f, 0xde, 0xb1, 0x3a, 0xe4, 0x9d, 0x2c),
    (0x70, 0xe0, 0x90, 0xdd, 0x3d, 0x06, 0x96), (0x71, 0xe2, 0x93, 0xd4, 0x36, 0x0b, 0x98),
    (0x72, 0xe4, 0x96, 0xcf, 0x2b, 0x1c, 0x8a), (0x73, 0xe6, 0x95, 0xc6, 0x20, 0x11, 0x84),
    (0x74, 0xe8, 0x9c, 0xf9, 0x11, 0x32, 0xae), (0x75, 0xea, 0x9f, 0xf0, 0x1a, 0x3f, 0xa0),
    (0x76, 0xec, 0x9a, 0xeb, 0x07, 0x28, 0xb2), (0x77, 0xee, 0x99, 0xe2, 0x0c, 0x25, 0xbc),
    (0x78, 0xf0, 0x88, 0x95, 0x65, 0x6e, 0xe6), (0x79, 0xf2, 0x8b, 0x9c, 0x6e, 0x63, 0xe8),
    (0x7a, 0xf4, 0x8e, 0x87, 0x73, 0x74, 0xfa), (0x7b, 0xf6, 0x8d, 0x8e, 0x78, 0x79, 0xf4),
    (0x7c, 0xf8, 0x84, 0xb1, 0x49, 0x5a, 0xde), (0x7d, 0xfa, 0x87, 0xb8, 0x42, 0x57, 0xd0),
    (0x7e, 0xfc, 0x82, 0xa3, 0x5f, 0x40, 0xc2), (0x7f, 0xfe, 0x81, 0xaa, 0x54, 0x4d, 0xcc),
    (0x80, 0x1b, 0x9b, 0xec, 0xf7, 0xda, 0x41), (0x81, 0x19, 0x98, 0xe5, 0xfc, 0xd7, 0x4f),
    (0x82, 0x1f, 0x9d, 0xfe, 0xe1, 0xc0, 0x5d), (0x83, 0x1d, 0x9e, 0xf7, 0xea, 0xcd, 0x53),
    (0x84, 0x13, 0x97, 0xc8, 0xdb, 0xee, 0x79), (0x85, 0x11, 0x94, 0xc1, 0xd0, 0xe3, 0x77),
    (0x86, 0x17, 0x91, 0xda, 0xcd, 0xf4, 0x65), (0x87, 0x15, 0x92, 0xd3, 0xc6, 0xf9, 0x6b),
    (0x88, 0x0b, 0x83, 0xa4, 0xaf, 0xb2, 0x31), (0x89, 0x09, 0x80, 0xad, 0xa4, 0xbf, 0x3f),
    (0x8a, 0x0f, 0x85, 0xb6, 0xb9, 0xa8, 0x2d), (0x8b, 0x0d, 0x86, 0xbf, 0xb2, 0xa5, 0x23),
    (0x8c, 0x03, 0x8f, 0x80, 0x83, 0x86, 0x09), (0x8d, 0x01, 0x8c, 0x89, 0x88, 0x8b, 0x07),
    (0x8e, 0x07, 0x89, 0x92, 0x95, 0x9c, 0x15), (0x8f, 0x05, 0x8a, 0x9b, 0x9e, 0x91, 0x1b),
    (0x90, 0x3b, 0xab, 0x7c, 0x47, 0x0a, 0xa1), (0x91, 0x39, 0xa8, 0x75, 0x4c, 0x07, 0xaf),
    (0x92, 0x3f, 0xad, 0x6e, 0x51, 0x10, 0xbd), (0x93, 0x3d, 0xae, 0x67, 0x5a, 0x1d, 0xb3),
    (0x94, 0x33, 0xa7, 0x58, 0x6b, 0x3e, 0x99), (0x95, 0x31, 0xa4, 0x51, 0x60, 0x33, 0x97),
    (0x96, 0x37, 0xa1, 0x4a, 0x7d, 0x24, 0x85), (0x97, 0x35, 0xa2, 0x43, 0x76, 0x29, 0x8b),
    (0x98, 0x2b, 0xb3, 0x34, 0x1f, 0x62, 0xd1), (0x99, 0x29, 0xb0, 0x3d, 0x14, 0x6f, 0xdf),
    (0x9a, 0x2f, 0xb5, 0x26, 0x09, 0x78, 0xcd), (0x9b, 0x2d, 0xb6, 0x2f, 0x02, 0x75, 0xc3),
    (0x9c, 0x23, 0xbf, 0x10, 0x33, 0x56, 0xe9), (0x9d, 0x21, 0xbc, 0x19, 0x38, 0x5b, 0xe7),
    (0x9e, 0x27, 0xb9, 0x02, 0x25, 0x4c, 0xf5), (0x9f, 0x25, 0xba, 0x0b, 0x2e, 0x41, 0xfb),
    (0xa0, 0x5b, 0xfb, 0xd7, 0x8c, 0x61, 0x9a), (0xa1, 0x59, 0xf8, 0xde, 0x87, 0x6c, 0x94),
    (0xa2, 0x5f, 0xfd, 0xc5, 0x9a, 0x7b, 0x86), (0xa3, 0x5d, 0xfe, 0xcc, 0x91, 0x76, 0x88),
    (0xa4, 0x53, 0xf7, 0xf3, 0xa0, 0x55, 0xa2), (0xa5, 0x51, 0xf4, 0xfa, 0xab, 0x58, 0xac),
    (0xa6, 0x57, 0xf1, 0xe1, 0xb6, 0x4f, 0xbe), (0xa7, 0x55, 0xf2, 0xe8, 0xbd, 0x42, 0xb0),
    (0xa8, 0x4b, 0xe3, 0x9f, 0xd4, 0x09, 0xea), (0xa9, 0x49, 0xe0, 0x96, 0xdf, 0x04, 0xe4),
    (0xaa, 0x4f, 0xe5, 0x8d, 0xc2, 0x13, 0xf6), (0xab, 0x4d, 0xe6, 0x84, 0xc9, 0x1e, 0xf8),
    (0xac, 0x43, 0xef, 0xbb, 0xf8, 0x3d, 0xd2), (0xad, 0x41, 0xec, 0xb2, 0xf3, 0x30, 0xdc),
    (0xae, 0x47, 0xe9, 0xa9, 0xee, 0x27, 0xce), (0xaf, 0x45, 0xea, 0xa0, 0xe5, 0x2a, 0xc0),
    (0xb0, 0x7b, 0xcb, 0x47, 0x3c, 0xb1, 0x7a), (0xb1, 0x79, 0xc8, 0x4e, 0x37, 0xbc, 0x74),
    (0xb2, 0x7f, 0xcd, 0x55, 0x2a, 0xab, 0x66), (0xb3, 0x7d, 0xce, 0x5c, 0x21, 0xa6, 0x68),
    (0xb4, 0x73, 0xc7, 0x63, 0x10, 0x85, 0x42), (0xb5, 0x71, 0xc4, 0x6a, 0x1b, 0x88, 0x4c),
    (0xb6, 0x77, 0xc1, 0x71, 0x06, 0x9f, 0x5e), (0xb7, 0x75, 0xc2, 0x78, 0x0d, 0x92, 0x50),
    (0xb8, 0x6b, 0xd3, 0x0f, 0x64, 0xd9, 0x0a), (0xb9, 0x69, 0xd0, 0x06, 0x6f, 0xd4, 0x04),
    (0xba, 0x6f, 0xd5, 0x1d, 0x72, 0xc3, 0x16), (0xbb, 0x6d, 0xd6, 0x14, 0x79, 0xce, 0x18),
    (0xbc, 0x63, 0xdf, 0x2b, 0x48, 0xed, 0x32), (0xbd, 0x61, 0xdc, 0x22, 0x43, 0xe0, 0x3c),
    (0xbe, 0x67, 0xd9, 0x39, 0x5e, 0xf7, 0x2e), (0xbf, 0x65, 0xda, 0x30, 0x55, 0xfa, 0x20),
    (0xc0, 0x9b, 0x5b, 0x9a, 0x01, 0xb7, 0xec), (0xc1, 0x99, 0x58, 0x93, 0x0a, 0xba, 0xe2),
    (0xc2, 0x9f, 0x5d, 0x88, 0x17, 0xad, 0xf0), (0xc3, 0x9d, 0x5e, 0x81, 0x1c, 0xa0, 0xfe),
    (0xc4, 0x93, 0x57, 0xbe, 0x2d, 0x83, 0xd4), (0xc5, 0x91, 0x54, 0xb7, 0x26, 0x8e, 0xda),
    (0xc6, 0x97, 0x51, 0xac, 0x3b, 0x99, 0xc8), (0xc7, 0x95, 0x52, 0xa5, 0x30, 0x94, 0xc6),
    (0xc8, 0x8b, 0x43, 0xd2, 0x59, 0xdf, 0x9c), (0xc9, 0x89, 0x40, 0xdb, 0x52, 0xd2, 0x92),
    (0xca, 0x8f, 0x45, 0xc0, 0x4f, 0xc5, 0x80), (0xcb, 0x8d, 0x46, 0xc9, 0x44, 0xc8, 0x8e),
    (0xcc, 0x83, 0x4f, 0xf6, 0x75, 0xeb, 0xa4), (0xcd, 0x81, 0x4c, 0xff, 0x7e, 0xe6, 0xaa),
    (0xce, 0x87, 0x49, 0xe4, 0x63, 0xf1, 0xb8), (0xcf, 0x85, 0x4a, 0xed, 0x68, 0xfc, 0xb6),
    (0xd0, 0xbb, 0x6b, 0x0a, 0xb1, 0x67, 0x0c), (0xd1, 0xb9, 0x68, 0x03, 0xba, 0x6a, 0x02),
    (0xd2, 0xbf, 0x6d, 0x18, 0xa7, 0x7d, 0x10), (0xd3, 0xbd, 0x6e, 0x11, 0xac, 0x70, 0x1e),
    (0xd4, 0xb3, 0x67, 0x2e, 0x9d, 0x53, 0x34), (0xd5, 0xb1, 0x64, 0x27, 0x96, 0x5e, 0x3a),
    (0xd6, 0xb7, 0x61, 0x3c, 0x8b, 0x49, 0x28), (0xd7, 0xb5, 0x62, 0x35, 0x80, 0x44, 0x26),
    (0xd8, 0xab, 0x73, 0x42, 0xe9, 0x0f, 0x7c), (0xd9, 0xa9, 0x70, 0x4b, 0xe2, 0x02, 0x72),
    (0xda, 0xaf, 0x75, 0x50, 0xff, 0x15, 0x60), (0xdb, 0xad, 0x76, 0x59, 0xf4, 0x18, 0x6e),
    (0xdc, 0xa3, 0x7f, 0x66, 0xc5, 0x3b, 0x44), (0xdd, 0xa1, 0x7c, 0x6f, 0xce, 0x36, 0x4a),
    (0xde, 0xa7, 0x79, 0x74, 0xd3, 0x21, 0x58), (0xdf, 0xa5, 0x7a, 0x7d, 0xd8, 0x2c, 0x56),
    (0xe0, 0xdb, 0x3b, 0xa1, 0x7a, 0x0c, 0x37), (0xe1, 0xd9, 0x38, 0xa8, 0x71, 0x01, 0x39),
    (0xe2, 0xdf, 0x3d, 0xb3, 0x6c, 0x16, 0x2b), (0xe3, 0xdd, 0x3e, 0xba, 0x67, 0x1b, 0x25),
    (0xe4, 0xd3, 0x37, 0x85, 0x56, 0x38, 0x0f), (0xe5, 0xd1, 0x34, 0x8c, 0x5d, 0x35, 0x01),
    (0xe6, 0xd7, 0x31, 0x97, 0x40, 0x22, 0x13), (0xe7, 0xd5, 0x32, 0x9e, 0x4b, 0x2f, 0x1d),
    (0xe8, 0xcb, 0x23, 0xe9, 0x22, 0x64, 0x47), (0xe9, 0xc9, 0x20, 0xe0, 0x29, 0x69, 0x49),
    (0xea, 0xcf, 0x25, 0xfb, 0x34, 0x7e, 0x5b), (0xeb, 0xcd, 0x26, 0xf2, 0x3f, 0x73, 0x55),
    (0xec, 0xc3, 0x2f, 0xcd, 0x0e, 0x50, 0x7f), (0xed, 0xc1, 0x2c, 0xc4, 0x05, 0x5d, 0x71),
    (0xee, 0xc7, 0x29, 0xdf, 0x18, 0x4a, 0x63), (0xef, 0xc5, 0x2a, 0xd6, 0x13, 0x47, 0x6d),
    (0xf0, 0xfb, 0x0b, 0x31, 0xca, 0xdc, 0xd7), (0xf1, 0xf9, 0x08, 0x38, 0xc1, 0xd1, 0xd9),
    (0xf2, 0xff, 0x0d, 0x23, 0xdc, 0xc6, 0xcb), (0xf3, 0xfd, 0x0e, 0x2a, 0xd7, 0xcb, 0xc5),
    (0xf4, 0xf3, 0x07, 0x15, 0xe6, 0xe8, 0xef), (0xf5, 0xf1, 0x04, 0x1c, 0xed, 0xe5, 0xe1),
    (0xf6, 0xf7, 0x01, 0x07, 0xf0, 0xf2, 0xf3), (0xf7, 0xf5, 0x02, 0x0e, 0xfb, 0xff, 0xfd),
    (0xf8, 0xeb, 0x13, 0x79, 0x92, 0xb4, 0xa7), (0xf9, 0xe9, 0x10, 0x70, 0x99, 0xb9, 0xa9),
    (0xfa, 0xef, 0x15, 0x6b, 0x84, 0xae, 0xbb), (0xfb, 0xed, 0x16, 0x62, 0x8f, 0xa3, 0xb5),
    (0xfc, 0xe3, 0x1f, 0x5d, 0xbe, 0x80, 0x9f), (0xfd, 0xe1, 0x1c, 0x54, 0xb5, 0x8d, 0x91),
    (0xfe, 0xe7, 0x19, 0x4f, 0xa8, 0x9a, 0x83), (0xff, 0xe5, 0x1a, 0x46, 0xa3, 0x97, 0x8d),
]


s_box = [
    [0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67, 0x2b, 0xfe, 0xd7, 0xab, 0x76],
    [0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0x47, 0xf0, 0xad, 0xd4, 0xa2, 0xaf, 0x9c, 0xa4, 0x72, 0xc0],
    [0xb7, 0xfd, 0x93, 0x26, 0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5, 0xe5, 0xf1, 0x71, 0xd8, 0x31, 0x15],
    [0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a, 0x07, 0x12, 0x80, 0xe2, 0xeb, 0x27, 0xb2, 0x75],
    [0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e, 0x5a, 0xa0, 0x52, 0x3b, 0xd6, 0xb3, 0x29, 0xe3, 0x2f, 0x84],
    [0x53, 0xd1, 0x00, 0xed, 0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58, 0xcf],
    [0xd0, 0xef, 0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85, 0x45, 0xf9, 0x02, 0x7f, 0x50, 0x3c, 0x9f, 0xa8],
    [0x51, 0xa3, 0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5, 0xbc, 0xb6, 0xda, 0x21, 0x10, 0xff, 0xf3, 0xd2],
    [0xcd, 0x0c, 0x13, 0xec, 0x5f, 0x97, 0x44, 0x17, 0xc4, 0xa7, 0x7e, 0x3d, 0x64, 0x5d, 0x19, 0x73],
    [0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88, 0x46, 0xee, 0xb8, 0x14, 0xde, 0x5e, 0x0b, 0xdb],
    [0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c, 0xc2, 0xd3, 0xac, 0x62, 0x91, 0x95, 0xe4, 0x79],
    [0xe7, 0xc8, 0x37, 0x6d, 0x8d, 0xd5, 0x4e, 0xa9, 0x6c, 0x56, 0xf4, 0xea, 0x65, 0x7a, 0xae, 0x08],
    [0xba, 0x78, 0x25, 0x2e, 0x1c, 0xa6, 0xb4, 0xc6, 0xe8, 0xdd, 0x74, 0x1f, 0x4b, 0xbd, 0x8b, 0x8a],
    [0x70, 0x3e, 0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e, 0x61, 0x35, 0x57, 0xb9, 0x86, 0xc1, 0x1d, 0x9e],
    [0xe1, 0xf8, 0x98, 0x11, 0x69, 0xd9, 0x8e, 0x94, 0x9b, 0x1e, 0x87, 0xe9, 0xce, 0x55, 0x28, 0xdf],
    [0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42, 0x68, 0x41, 0x99, 0x2d, 0x0f, 0xb0, 0x54, 0xbb, 0x16],
]

s_box_inv = [
    [0x52, 0x09, 0x6a, 0xd5, 0x30, 0x36, 0xa5, 0x38, 0xbf, 0x40, 0xa3, 0x9e, 0x81, 0xf3, 0xd7, 0xfb],
    [0x7c, 0xe3, 0x39, 0x82, 0x9b, 0x2f, 0xff, 0x87, 0x34, 0x8e, 0x43, 0x44, 0xc4, 0xde, 0xe9, 0xcb],
    [0x54, 0x7b, 0x94, 0x32, 0xa6, 0xc2, 0x23, 0x3d, 0xee, 0x4c, 0x95, 0x0b, 0x42, 0xfa, 0xc3, 0x4e],
    [0x08, 0x2e, 0xa1, 0x66, 0x28, 0xd9, 0x24, 0xb2, 0x76, 0x5b, 0xa2, 0x49, 0x6d, 0x8b, 0xd1, 0x25],
    [0x72, 0xf8, 0xf6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xd4, 0xa4, 0x5c, 0xcc, 0x5d, 0x65, 0xb6, 0x92],
    [0x6c, 0x70, 0x48, 0x50, 0xfd, 0xed, 0xb9, 0xda, 0x5e, 0x15, 0x46, 0x57, 0xa7, 0x8d, 0x9d, 0x84],
    [0x90, 0xd8, 0xab, 0x00, 0x8c, 0xbc, 0xd3, 0x0a, 0xf7, 0xe4, 0x58, 0x05, 0xb8, 0xb3, 0x45, 0x06],
    [0xd0, 0x2c, 0x1e, 0x8f, 0xca, 0x3f, 0x0f, 0x02, 0xc1, 0xaf, 0xbd, 0x03, 0x01, 0x13, 0x8a, 0x6b],
    [0x3a, 0x91, 0x11, 0x41, 0x4f, 0x67, 0xdc, 0xea, 0x97, 0xf2, 0xcf, 0xce, 0xf0, 0xb4, 0xe6, 0x73],
    [0x96, 0xac, 0x74, 0x22, 0xe7, 0xad, 0x35, 0x85, 0xe2, 0xf9, 0x37, 0xe8, 0x1c, 0x75, 0xdf, 0x6e],
    [0x47, 0xf1, 0x1a, 0x71, 0x1d, 0x29, 0xc5, 0x89, 0x6f, 0xb7, 0x62, 0x0e, 0xaa, 0x18, 0xbe, 0x1b],
    [0xfc, 0x56, 0x3e, 0x4b, 0xc6, 0xd2, 0x79, 0x20, 0x9a, 0xdb, 0xc0, 0xfe, 0x78, 0xcd, 0x5a, 0xf4],
    [0x1f, 0xdd, 0xa8, 0x33, 0x88, 0x07, 0xc7, 0x31, 0xb1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xec, 0x5f],
    [0x60, 0x51, 0x7f, 0xa9, 0x19, 0xb5, 0x4a, 0x0d, 0x2d, 0xe5, 0x7a, 0x9f, 0x93, 0xc9, 0x9c, 0xef],
    [0xa0, 0xe0, 0x3b, 0x4d, 0xae, 0x2a, 0xf5, 0xb0, 0xc8, 0xeb, 0xbb, 0x3c, 0x83, 0x53, 0x99, 0x61],
    [0x17, 0x2b, 0x04, 0x7e, 0xba, 0x77, 0xd6, 0x26, 0xe1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0c, 0x7d],
]

shiftrow_table = [
    [0, 1, 2, 3],
    [1, 2, 3, 0],
    [2, 3, 0, 1],
    [3, 0, 1, 2]
]



shiftrow_table_inv = [
    [0, 1, 2, 3],
    [3, 0, 1, 2],
    [2, 3, 0, 1],
    [1, 2, 3, 0]
]

#####################
if(__name__ == '__main__'):
    print('1')